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SUMS OF SQUARES OF INTEGERS
Published 2006Subjects: “…Exponential sums…”
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CALCULUS
Published 2012Table of Contents: “…Before calculus -- Limits and continuity -- The derivative -- The derivative in graphing and applications -- Integration -- Applications of the definite integral in geometry, science and engineering -- Exponential, logarithmic, and inverse trigonometric functions -- Principles of integral evaluation -- Mathematical modeling with differential equations -- Infinite series -- Parametric and polar curves ; conic sections -- Three-dimensional space ; vectors -- Vector-valued functions -- Partial derivatives -- Multiple integrals -- Topics in vector calculus -- Appendices -- Web appendices (online only) -- Web projects : expanding the calculus horizon (online only).…”
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Calculus
Published 2006Table of Contents: “…Preparation for calculus -- Limits and their properties -- Differentiation -- Applications of differentiation -- Integration -- Logarithmic, exponential, and other transcendental functions -- Differential equations -- Applications of integration -- Integration techniques, L'Hopital's rule, and improper integrals -- Infinite series -- Conics, parametric equations, and polar coordinates -- Vectors and the geometry of space -- Vector-valued functions -- Functions of several variables -- Multiple integration -- Vector analysis -- Appendices.…”
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Engineering Mathematics
Published 2013Table of Contents: “….- Trigonometric and Exponential Functions.- Differentiation.- Integration.- PART II.- Complex Numbers 1.- Complex Numbers 2.- Hyperbolic Functions.- Determinants.- Matrices.- Vectors.- Differentiation.- Differentiation Applications.- Tangents, Normals and Curvature.- Sequences.- Series 1.- Series 2.- Curves and Curve Fitting.- Partial Differentiation 1.- Partial Differentiation 2.- Integration 1.- Integration 2.- Reduction Formulas.- Integration Applications 1.- Integration Applications 2.- Integration Applications 3.- Approximate Integration.- Polar Coordinate Systems.- Multiple Integrals.- First-Order Differential Equations.- Second-Order Differential Equations.- Introduction to Laplace Transforms.- Statistics.- Probability.- Answers.…”
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DIFFERENTIAL EQUATIONS An Introduction to Modern Methods and Applications
Published 2015Table of Contents: “…CHAPTER 5 The Laplace Transform -- 5.1 Definition of the Laplace Transform -- 5.2 Properties of the Laplace Transform -- 5.3 The Inverse Laplace Transform -- 5.4 Solving Differential Equations with Laplace Transforms -- 5.5 Discontinuous Functions and Periodic Functions -- 5.6 Differential Equations with Discontinuous Forcing Functions -- 5.7 Impulse Functions -- 5.8 Convolution Integrals and Their Applications -- 5.9 Linear Systems and Feedback Control -- Projects -- 5.P.1 An Electric Circuit Problem -- 5.P.2 The Watt Governor, Feedback Control, and Stability -- CHAPTER 6 Systems of First Order Linear Equations -- 6.1 Definitions and Examples -- 6.2 Basic Theory of First Order Linear Systems -- 6.3 Homogeneous Linear Systems with Constant Coefficients -- 6.4 Nondefective Matrices with Complex Eigenvalues -- 6.5 Fundamental Matrices and the Exponential of a Matrix -- 6.6 Nonhomogeneous Linear Systems -- 6.7 Defective Matrices -- Projects -- 6.P.1 Earthquakes and Tall Buildings -- 6.P.2 Controlling a Spring-Mass System to Equilibrium -- CHAPTER 7 Nonlinear Differential Equations and Stability -- 7.1 Autonomous Systems and Stability -- 7.2 Almost Linear Systems -- 7.3 Competing Species -- 7.4 Predator-Prey Equations -- 7.5 Periodic Solutions and Limit Cycles -- 7.6 Chaos and Strange Attractors: The Lorenz Equations -- Projects -- 7.P.1 Modeling of Epidemics -- 7.P.2 Harvesting in a Competitive Environment -- 7.P.3 The Rossler System -- CHAPTER 8 Numerical Methods -- 8.1 Numerical Approximations: Euler's Method -- 8.2 Accuracy of Numerical Methods -- 8.3 Improved Euler and Runge-Kutta Methods -- 8.4 Numerical Methods for Systems of First Order Equations -- Projects -- 8.P.1 Designing a Drip Dispenser for a Hydrology Experiment -- 8.P.2 Monte Carlo Option Pricing: Pricing Financial Options by Flipping a Coin -- APPENDIX A Matrices and Linear Algebra. …”
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Lymphoma pathology, diagnosis, and treatment
Published 2014Click Here to View Status and Holdings.
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